Question

I need to find the value of x and y please help

Answer 1

To solve for the value of x and y below:

Using SOHCAHTOA to determine the value of x and y

Hypotenuse = x

Opposit = 21

Adjacent = y

`\begin{gathered} \sin \theta=(opp)/(hyp) \\ \sin 60=(21)/(x) \\ x=(21)/(\sin 60) \\ x=(21)/(0.8660) \\ x=24.25 \end{gathered}`
`\begin{gathered} \tan \theta=(opp)/(adj) \\ \tan 60=(21)/(y) \\ y=(21)/(\tan 60) \\ y=(21)/(1.732) \\ y=12.12 \end{gathered}`

Therefore the correct value for x = 24.25 and y = 12.12